In a saucepan combine pears, 1 cup water, the sugar, honey, ginger, and lemon juice. Bring to boiling; reduce heat. Simmer, uncovered, 10 to 15 minutes or until pears are soft and begin to break apart. Remove from heat; let cool. (You will have about 21/4 cups pears and liquid.)
Transfer to a blender; blend until smooth. Freeze in an airtight container overnight or until firm.